Given numbers are 742,203,977,416

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 742,203,977,416 is 4372801888.

Find LCM of 742,203,977,416 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 7 x 53 x 29 x 977 x 208 = 4372801888

Therefore, the lowest common multiple of 742,203,977,416 is 4372801888.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

742 x 203 x 977 x 416 = 61219226432

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

742 : 1, 2, 7, 14, 53, 106, 371, 742

203 : 1, 7, 29, 203

977 : 1, 977

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,203,977,416, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

203:7x 29

977:977

416:2x 2x 2x 2x 2x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 61219226432/(1x14)

LCM = 61219226432/14

LCM = 4372801888

Thus, we can understand that the LCM of 742,203,977,416 is 4372801888.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 285, 913, 662, 665
• LCM of 848, 694, 194, 733
• LCM of 915, 662, 336, 593
• LCM of 840, 241, 958, 357
• LCM of 270, 105, 342, 877

1. What is the LCM of 742, 203, 977, 416?

Answer: LCM of 742, 203, 977, 416 is 4372801888.

2. How to calculate the LCM of 742, 203, 977, 416?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 742, 203, 977, 416.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.